7x-3=(2x+6)+(3x-3)

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Solution for 7x-3=(2x+6)+(3x-3) equation:


Simplifying
7x + -3 = (2x + 6) + (3x + -3)

Reorder the terms:
-3 + 7x = (2x + 6) + (3x + -3)

Reorder the terms:
-3 + 7x = (6 + 2x) + (3x + -3)

Remove parenthesis around (6 + 2x)
-3 + 7x = 6 + 2x + (3x + -3)

Reorder the terms:
-3 + 7x = 6 + 2x + (-3 + 3x)

Remove parenthesis around (-3 + 3x)
-3 + 7x = 6 + 2x + -3 + 3x

Reorder the terms:
-3 + 7x = 6 + -3 + 2x + 3x

Combine like terms: 6 + -3 = 3
-3 + 7x = 3 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-3 + 7x = 3 + 5x

Solving
-3 + 7x = 3 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-3 + 7x + -5x = 3 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-3 + 2x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 2x = 3 + 0
-3 + 2x = 3

Add '3' to each side of the equation.
-3 + 3 + 2x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 3 + 3
2x = 3 + 3

Combine like terms: 3 + 3 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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